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import fileinput
N = 1000 # Change to 10 for test case
class SetJoin:
def __init__(self, n):
self._parent = [i for i in range(n)]
def rep(self, i):
return i if self._parent[i] == i else self.rep(self._parent[i])
def join(self, i, j):
self._parent[self.rep(i)] = self.rep(j)
def sizes(self):
sizes = [0] * len(self._parent)
for i in range(len(self._parent)):
sizes[self.rep(i)] += 1
return sizes
with fileinput.input() as lines:
pts = [tuple(int(x) for x in line[:-1].split(',')) for line in lines]
def dist(p, q):
return (p[0]-q[0])**2 + (p[1]-q[1])**2 + (p[2]-q[2])**2
r = range(len(pts))
d = sorted([(dist(pts[i], pts[j]), i, j) for i in r for j in r if j > i])
sj = SetJoin(len(pts))
for i in range(N):
j, k = d[i][1], d[i][2]
if sj.rep(j) != sj.rep(k):
sj.join(j, k)
s = sorted(sj.sizes())
print(s[-1] * s[-2] * s[-3])
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